Abstract. We exhibit explicit Lipschitz maps from Rn to Rn which have almost everywhere orthogonal gradient and are equal to zero on the boundary of a cube. We solve the problem by induction on the dimension n.
On the n-dimensional Dirichlet problem for isometric maps
PAOLINI, EMANUELE
2008-01-01
Abstract
Abstract. We exhibit explicit Lipschitz maps from Rn to Rn which have almost everywhere orthogonal gradient and are equal to zero on the boundary of a cube. We solve the problem by induction on the dimension n.File in questo prodotto:
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